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Finding the Fourth Proportional to 2,266.80, 3,396.09 and 2,030.33

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Solution

The fourth proportional to 2,266.80, 3,396.09 and 2,030.33 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.80 : 3,396.09 = 2,030.33 : x
  2. Step 2: Convert to fraction form
    2,266.80/3,396.09 = 2,030.33/x
  3. Step 3: Cross multiply
    2,266.80x = 3,396.09 × 2,030.33
  4. Step 4: Simplify right side
    2,266.80x = 6,895,199.51
  5. Step 5: Solve for x
    x = 6,895,199.51/2,266.80
  6. Step 6: Final answer
    x = 3,041.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.